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Finding the Fourth Proportional to 472,605.60, 708,973.20 and 157,029.60

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Solution

The fourth proportional to 472,605.60, 708,973.20 and 157,029.60 is: 235,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,605.60 : 708,973.20 = 157,029.60 : x
  2. Step 2: Convert to fraction form
    472,605.60/708,973.20 = 157,029.60/x
  3. Step 3: Cross multiply
    472,605.60x = 708,973.20 × 157,029.60
  4. Step 4: Simplify right side
    472,605.60x = 111,329,778,006.72
  5. Step 5: Solve for x
    x = 111,329,778,006.72/472,605.60
  6. Step 6: Final answer
    x = 235,565.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.